7x+6(2-x)+14=21+3(6+x)

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Solution for 7x+6(2-x)+14=21+3(6+x) equation: 


Simplifying
7x + 6(2 + -1x) + 14 = 21 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 14 = 21 + 3(6 + x)
7x + (12 + -6x) + 14 = 21 + 3(6 + x)

Reorder the terms:
12 + 14 + 7x + -6x = 21 + 3(6 + x)

Combine like terms: 12 + 14 = 26
26 + 7x + -6x = 21 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
26 + 1x = 21 + 3(6 + x)
26 + 1x = 21 + (6 * 3 + x * 3)
26 + 1x = 21 + (18 + 3x)

Combine like terms: 21 + 18 = 39
26 + 1x = 39 + 3x

Solving
26 + 1x = 39 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
26 + 1x + -3x = 39 + 3x + -3x

Combine like terms: 1x + -3x = -2x
26 + -2x = 39 + 3x + -3x

Combine like terms: 3x + -3x = 0
26 + -2x = 39 + 0
26 + -2x = 39

Add '-26' to each side of the equation.
26 + -26 + -2x = 39 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 39 + -26
-2x = 39 + -26

Combine like terms: 39 + -26 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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